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If |V k | = 1, for all k = 1, ..., m then the GMST problem trivially reduces to the classical Minimum Spanning Tree problem which can be solved in polynomial time, by using for
It is obvious that if the conditions of Theorem 2 are fulfilled, then the local solvability of problem (1), (2) guarantees its global solvability.. Therefore if the conditions
In particular, it is stated that if the sequence {ω ( n ) } is the Weyl multiplier for the summability almost everywhere by the |c, 1 | method of all orthogonal series, then
The following Theorem shows that if T is a Maltsev theory, then all surjec- tive homomorphisms of simplicial T -models are Kan fibrations, which obviously implies Theorem 1.. Our
Keywords: Boundary value problem; Positive solution; Semipositone; Fixed
In order to apply the upper and lower solutions method to fractional differential equation two-point boundary value problem (1.. 1) complete the proof of the theorem.. We consider
We provide an existence result for a Neumann nonlinear boundary value problem posed on the half-line.. If kernel L is nontrivial then the equation is called resonant and one can
In the present work, we shall show that the feasible (if present) steady state of a wide class of Lotka±Volterra systems is globally asymptotically stable if simple conditions on
